TSTP Solution File: SET081-6 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET081-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:18:23 EDT 2023

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   8 unt;   2 nHn;   8 RR)
%            Number of literals    :   14 (   8 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_only_member_in_singleton_1,negated_conjecture,
    member(y,singleton(x)),
    file('/export/starexec/sandbox/tmp/tmp.XMvRhr7Yyw/E---3.1_7583.p',prove_only_member_in_singleton_1) ).

cnf(singleton_set,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox/tmp/tmp.XMvRhr7Yyw/E---3.1_7583.p',singleton_set) ).

cnf(unordered_pair_member,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.XMvRhr7Yyw/E---3.1_7583.p',unordered_pair_member) ).

cnf(prove_only_member_in_singleton_2,negated_conjecture,
    y != x,
    file('/export/starexec/sandbox/tmp/tmp.XMvRhr7Yyw/E---3.1_7583.p',prove_only_member_in_singleton_2) ).

cnf(c_0_4,negated_conjecture,
    member(y,singleton(x)),
    prove_only_member_in_singleton_1 ).

cnf(c_0_5,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_6,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    unordered_pair_member ).

cnf(c_0_7,negated_conjecture,
    member(y,unordered_pair(x,x)),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    y != x,
    prove_only_member_in_singleton_2 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SET081-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n032.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 2400
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Mon Oct  2 17:59:19 EDT 2023
% 0.17/0.33  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.XMvRhr7Yyw/E---3.1_7583.p
% 0.17/0.47  # Version: 3.1pre001
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # Starting sh5l with 300s (1) cores
% 0.17/0.47  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 7711 completed with status 0
% 0.17/0.47  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 308s (1) cores
% 0.17/0.47  # Starting sh5l with 304s (1) cores
% 0.17/0.47  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.47  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 7718 completed with status 0
% 0.17/0.47  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.004 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Unsatisfiable
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 93
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.47  # Initial clauses                      : 93
% 0.17/0.47  # Removed in clause preprocessing      : 15
% 0.17/0.47  # Initial clauses in saturation        : 78
% 0.17/0.47  # Processed clauses                    : 110
% 0.17/0.47  # ...of these trivial                  : 0
% 0.17/0.47  # ...subsumed                          : 0
% 0.17/0.47  # ...remaining for further processing  : 110
% 0.17/0.47  # Other redundant clauses eliminated   : 3
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 0
% 0.17/0.47  # Backward-rewritten                   : 0
% 0.17/0.47  # Generated clauses                    : 15
% 0.17/0.47  # ...of the previous two non-redundant : 11
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 0
% 0.17/0.47  # Paramodulations                      : 12
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 3
% 0.17/0.47  # Total rewrite steps                  : 2
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 30
% 0.17/0.47  #    Positive orientable unit clauses  : 10
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 1
% 0.17/0.47  #    Non-unit-clauses                  : 19
% 0.17/0.47  # Current number of unprocessed clauses: 56
% 0.17/0.47  # ...number of literals in the above   : 132
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 92
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 1095
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 525
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.47  # Unit Clause-clause subsumption calls : 6
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 3
% 0.17/0.47  # BW rewrite match successes           : 1
% 0.17/0.47  # Condensation attempts                : 0
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 5570
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.009 s
% 0.17/0.47  # System time              : 0.007 s
% 0.17/0.47  # Total time               : 0.016 s
% 0.17/0.47  # Maximum resident set size: 1936 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.045 s
% 0.17/0.47  # System time              : 0.025 s
% 0.17/0.47  # Total time               : 0.070 s
% 0.17/0.47  # Maximum resident set size: 1752 pages
% 0.17/0.47  % E---3.1 exiting
% 0.17/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------